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Finding the Third Proportional to 133,038 and 272,291

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Solution

The third proportional to 133,038 and 272,291 is: 557,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 272,291 = 272,291 : x
  2. Step 2: Convert to fraction form
    133,038/272,291 = 272,291/x
  3. Step 3: Cross multiply
    133,038x = 272,291 × 272,291
  4. Step 4: Simplify right side
    133,038x = 74,142,388,681
  5. Step 5: Solve for x
    x = 74,142,388,681/133,038
  6. Step 6: Final answer
    x = 557,302.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.